%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL077-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:57:48 PM UTC 2026
% Result : Unsatisfiable 0.56s 0.89s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of clauses : 30 ( 21 unt; 0 nHn; 10 RR)
% Number of literals : 40 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 68 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_39,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_39) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X2,implies(X3,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X4,X5))
| ~ is_a_theorem(X4)
| is_a_theorem(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c0,plain,
( ~ is_a_theorem(X7)
| is_a_theorem(implies(X6,X7)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_18]) ).
cnf(cn_49,axiom,
is_a_theorem(implies(implies(not(X25),not(X26)),implies(X26,X25))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).
cnf(c8,plain,
is_a_theorem(implies(X43,implies(implies(not(X45),not(X44)),implies(X44,X45)))),
inference(resolution,[status(thm)],[cn_49,c0]) ).
cnf(cn_35,axiom,
is_a_theorem(implies(implies(X12,implies(X13,X11)),implies(implies(X12,X13),implies(X12,X11)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).
cnf(c5,plain,
( ~ is_a_theorem(implies(X51,implies(X49,X50)))
| is_a_theorem(implies(implies(X51,X49),implies(X51,X50))) ),
inference(resolution,[status(thm)],[cn_35,condensed_detachment]) ).
cnf(c17,plain,
is_a_theorem(implies(implies(X126,implies(not(X128),not(X127))),implies(X126,implies(X127,X128)))),
inference(resolution,[status(thm)],[c5,c8]) ).
cnf(c1,plain,
is_a_theorem(implies(X8,implies(X10,implies(X9,X10)))),
inference(resolution,[status(thm)],[c0,cn_18]) ).
cnf(c4,plain,
is_a_theorem(implies(X29,implies(implies(X32,implies(X30,X31)),implies(implies(X32,X30),implies(X32,X31))))),
inference(resolution,[status(thm)],[cn_35,c0]) ).
cnf(c21,plain,
is_a_theorem(implies(implies(X58,X57),implies(X58,X58))),
inference(resolution,[status(thm)],[c5,cn_18]) ).
cnf(c27,plain,
( ~ is_a_theorem(implies(X59,X60))
| is_a_theorem(implies(X59,X59)) ),
inference(resolution,[status(thm)],[c21,condensed_detachment]) ).
cnf(c30,plain,
is_a_theorem(implies(X61,X61)),
inference(resolution,[status(thm)],[c27,c4]) ).
cnf(c43,plain,
is_a_theorem(implies(implies(implies(X197,X198),X197),implies(implies(X197,X198),X198))),
inference(resolution,[status(thm)],[c30,c5]) ).
cnf(c154,plain,
( ~ is_a_theorem(implies(implies(X295,X296),X295))
| is_a_theorem(implies(implies(X295,X296),X296)) ),
inference(resolution,[status(thm)],[c43,condensed_detachment]) ).
cnf(c222,plain,
is_a_theorem(implies(implies(implies(X359,implies(X357,X359)),X358),X358)),
inference(resolution,[status(thm)],[c154,c1]) ).
cnf(c278,plain,
( ~ is_a_theorem(implies(implies(X460,implies(X461,X460)),X459))
| is_a_theorem(X459) ),
inference(resolution,[status(thm)],[c222,condensed_detachment]) ).
cnf(c422,plain,
is_a_theorem(implies(not(X480),implies(X480,X481))),
inference(resolution,[status(thm)],[c278,c17]) ).
cnf(c87,plain,
( ~ is_a_theorem(implies(X665,implies(not(X666),not(X664))))
| is_a_theorem(implies(X665,implies(X664,X666))) ),
inference(resolution,[status(thm)],[c17,condensed_detachment]) ).
cnf(c566,plain,
is_a_theorem(implies(not(not(X672)),implies(X671,X672))),
inference(resolution,[status(thm)],[c87,c422]) ).
cnf(c22,plain,
is_a_theorem(implies(implies(implies(X193,implies(X191,X192)),implies(X193,X191)),implies(implies(X193,implies(X191,X192)),implies(X193,X192)))),
inference(resolution,[status(thm)],[c5,cn_35]) ).
cnf(c42,plain,
is_a_theorem(implies(X80,implies(X81,X81))),
inference(resolution,[status(thm)],[c30,c0]) ).
cnf(c48,plain,
is_a_theorem(implies(X86,implies(X87,implies(X88,X88)))),
inference(resolution,[status(thm)],[c42,c0]) ).
cnf(c210,plain,
is_a_theorem(implies(implies(implies(X353,implies(X354,X354)),X352),X352)),
inference(resolution,[status(thm)],[c154,c48]) ).
cnf(c270,plain,
( ~ is_a_theorem(implies(implies(X410,implies(X409,X409)),X411))
| is_a_theorem(X411) ),
inference(resolution,[status(thm)],[c210,condensed_detachment]) ).
cnf(c340,plain,
is_a_theorem(implies(implies(X637,implies(X637,X638)),implies(X637,X638))),
inference(resolution,[status(thm)],[c270,c22]) ).
cnf(c543,plain,
( ~ is_a_theorem(implies(X765,implies(X765,X764)))
| is_a_theorem(implies(X765,X764)) ),
inference(resolution,[status(thm)],[c340,condensed_detachment]) ).
cnf(c621,plain,
is_a_theorem(implies(not(not(X780)),X780)),
inference(resolution,[status(thm)],[c543,c566]) ).
cnf(c662,plain,
$false,
inference(resolution,[status(thm)],[c621,prove_cn_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL077-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 16:28:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.14/0.43 (re.compile("\."), Token.FullStop),
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.14/0.43 (re.compile("\("), Token.OpenPar),
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.14/0.43 (re.compile("\)"), Token.ClosePar),
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.14/0.43 (re.compile("\["), Token.OpenSquare),
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.14/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.43 (re.compile("~\|"), Token.Nor),
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.43 (re.compile("\|"), Token.Or),
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.14/0.43 (re.compile("\?"), Token.Existential),
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.14/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.14/0.43 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.14/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.50 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.50 """
% 0.22/0.50 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.50 """
% 0.32/0.59 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.59 """
% 0.56/0.89 % Version: 1.5
% 0.56/0.89 % SZS status Unsatisfiable
% 0.56/0.89 % SZS output start CNFRefutation
% See solution above
% 0.56/0.89
% 0.56/0.89 % Initial clauses : 5
% 0.56/0.89 % Processed clauses : 78
% 0.56/0.89 % Factors computed : 0
% 0.56/0.89 % Resolvents computed: 683
% 0.56/0.89 % Tautologies deleted: 1
% 0.56/0.89 % Forward subsumed : 173
% 0.56/0.89 % Backward subsumed : 2
% 0.56/0.89 % -------- CPU Time ---------
% 0.56/0.89 % User time : 0.492 s
% 0.56/0.89 % System time : 0.031 s
% 0.56/0.89 % Total time : 0.523 s
%------------------------------------------------------------------------------